The England Under-19 attacking midfielder had 15 outings for the Championship club last term and O'Driscoll is keen to renew discussions with his parent club following thier return from a warm-weather training camp.
"Ryan is back from Portugal but has a slight thigh strain," O'Driscoll told Rovers' website.
"We are keeping in touch with Spurs and would like, if he is fit to play, for him to feature in the Grimsby game or if not, get him up for training next week.
"Whether this will come to fruition we don't know but that's the plan. He's got a year left on his Spurs contract so we'd probably look at getting him up to the January transfer window."